y varies inversely with x.
Example:
If we multiply x by 2 we need to divide y by 2 too.
So,
If y = 16 and x = 1/2, find y when x = 32
Lets see, from 1/2 to 32 e need to multiply 1/2 by 64, right? So let's divide 16 by 64.
16/64 = 8/32 = 4/16 = 2/8 = 1/4
So we can say that:
If y = 16 when x = 1/2, y = 1/4 when x = 32.
From question,
(140-x)/7+70=120
Or, (140-x)/7=120-70
Or,140-x=50X7
Or, -x=350-140
Or, -x=210
:• x = -210 answers
A trig identity is <span>asinucosu=<span>a/2</span>sin(2u)</span>So you can write your equation as<span>y=sin(x)cos(x)=<span>1/2</span>sin(2x)</span>Use the crain rule here<span><span>y′</span>=<span>d/<span>dx</span></span><span>1/2</span>sin(2x)=<span>1/2</span>cos(2x)<span>d/<span>dx</span></span>2x=cos(2x)</span>The curve will have horizontal tangents when y' = 0.<span><span>y′</span>=0=cos(2x)</span>On the interval [-pi, pi], solution to that is<span><span>x=±<span>π4</span>,±<span><span>3π</span>4</span></span></span>
Six hundred ninty three thousand, five thousand six hundred ninty nine
Three hundred fourty thousand two thousand and eighty nine
I’m confused on the comma for the last 2?
